Work

Robust Invariance Conditions of Uncertain Linear Discrete Time Systems Based on Semidefinite Programming Duality

Year: 2024

Type: article

Abstract: This article proposes a novel robust invariance condition for uncertain linear discrete-time systems with state and control constraints, utilizing a method of semidefinite programming duality. The approach involves approximating the robust invariant set for these systems by tackling the dual problem associated with semidefinite programming. Central to this method is the formulation of a dual programming through the application of adjoint mapping. From the standpoint of semidefinite programming dual optimization, the paper presents a novel linear matrix inequality (LMI) conditions pertinent to robust positive invariance. Illustrative examples are incorporated to elucidate the findings.

Source: Mathematics

DOI: 10.3390/math12162512

Authors: Hongli Yang, Chengdan Wang, Xiao Bi, Ivan Ganchev Ivanov

Institutions: Qingdao Huanghai University, Shandong University of Science and Technology, Shandong University, Sofia University "St. Kliment Ohridski"

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4401577243

FWCI: 0.243

Cites: 19

Cited by: 2

Related to: 10